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Finding the Fourth Proportional to 3,186.54, 4,386.51 and 2,764.41

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Solution

The fourth proportional to 3,186.54, 4,386.51 and 2,764.41 is: 3,805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.54 : 4,386.51 = 2,764.41 : x
  2. Step 2: Convert to fraction form
    3,186.54/4,386.51 = 2,764.41/x
  3. Step 3: Cross multiply
    3,186.54x = 4,386.51 × 2,764.41
  4. Step 4: Simplify right side
    3,186.54x = 12,126,112.11
  5. Step 5: Solve for x
    x = 12,126,112.11/3,186.54
  6. Step 6: Final answer
    x = 3,805.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.